26 results on '"Settore MAT/04 - Matematiche Complementari"'
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2. BRAINS ON IN MATH CLASSES
- Author
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PAOLA MORANDO and Gaia Turconi
- Subjects
Mathematics ,higher education ,learning strategies ,metacognition ,Settore MAT/04 - Matematiche Complementari - Published
- 2022
- Full Text
- View/download PDF
3. Seeds, Brains, and Bridges
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Mannone M. and Mannone M.
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Settore INF/01 - Informatica ,mathematics ,Arts and science ,Settore MAT/04 - Matematiche Complementari - Abstract
What could the Venice of the future look like? A project for an ideal city can take off from an allegory: arts and sciences inside a seed of Lodoicea maldivica, whose bipartition reminds us of a human brain. From the seeds left by the past, we derive the vision of the future. The ideal city certainly needs brains able to conceptualize images and develop ideas, and bridges to strengthen connections and in- teractions. A well-working brain needs “bridges” as connections between ideas and techniques. My vision for a future city contains a livable and stimulating space enhancing at one time creativity, enthusiasm, and scientific development. To this aim, I use the image and the metaphor of cerebral hemispheres, specialized in activities of different typologies yet interconnected. The image of the brain is one of the symbols of cognition. The right hemisphere deals with artistic expression, while the left hemisphere refers to logic thinking, mathematics, scientific attitude toward the world. Different cerebral areas, which contribute to the complex and rich life of an individual, are a metaphor for different places in a city, contributing to the completeness of a community life. Separation between hemispheres, also as a homage to Venice, is seen as a sort of Canal Grande, and connections are represented by bridges. The whole brain is seen as a giant seed of Lodoicea maldivica: the city of the future needs to develop from seeds, that is, knowledge inherited from the past and new ideas from our minds and thoughts. Thoughts that, in turn, are fed upon the Science of Complexity.
- Published
- 2022
- Full Text
- View/download PDF
4. Maths in the time of social media: conceptualizing the Internet phenomenon of mathematical memes
- Author
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G. Bini, Angelika Bikner-Ahsbahs, and Ornella Robutti
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Learning community ,Mathematical statement ,social media ,Internet meme, mathematics, social media, learning communities, epistemic need mathematical statement, Web 2.0 culture ,01 natural sciences ,Education ,Mathematics (miscellaneous) ,Phenomenon ,Social media ,0101 mathematics ,Internet meme ,epistemic need ,learning communities ,mathematical statement ,mathematics ,Web 2.0 culture ,business.industry ,Applied Mathematics ,010102 general mathematics ,05 social sciences ,050301 education ,Settore MAT/04 - Matematiche Complementari ,Epistemology ,epistemic need mathematical statement ,The Internet ,business ,0503 education - Abstract
Mathematical memes are an Internet phenomenon with an epistemic potential noteworthy for the teaching and learning of mathematics. The aim of this paper is to conceptualize this phenomenon on an em...
- Published
- 2022
5. CREATIVELY CONTEXTUALIZING THE MATH COURSE FOR ARCHITECTURE FRESHMEN
- Author
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Maria Luisa Spreafico
- Subjects
architecture ,higher education ,Mathematics, architecture, creativity, higher education ,Settore MAT/04 - Matematiche Complementari ,Mathematics ,creativity - Published
- 2022
6. L’interpretazione del simbolo di uguaglianza nel primo ciclo d’istruzione = Interpreting the equality symbol in primary and middle schools
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Giberti, Chiara and Maffia, Andrea
- Subjects
Primary and middle schools ,Mathematics ,Equals symbol ,Arithmetic operations ,Early algebra ,Operazioni aritmetiche ,Primo ciclo ,Matematica ,Uguaglianza ,Settore MAT/04 - Matematiche Complementari - Published
- 2021
7. Historical Origins of the nine-point conic -- The Contribution of Eugenio Beltrami
- Author
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Maria Alessandra Vaccaro and Vaccaro M.A.
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History ,Mathematical problem ,Mathematics - History and Overview ,General Mathematics ,History and Overview (math.HO) ,06 humanities and the arts ,Algebraic geometry ,Settore MAT/04 - Matematiche Complementari ,01A55, 51-03 ,Algebra ,Euclidean distance ,Eugenio Beltrami ,060105 history of science, technology & medicine ,Conic section ,Quadratic transformations ,Nine-point conic ,FOS: Mathematics ,0601 history and archaeology ,Point (geometry) ,Development (differential geometry) ,Period (music) ,Mathematics - Abstract
In this paper, we examine the evolution of a specific mathematical problem, i.e. the nine-point conic, a generalisation of the nine-point circle due to Steiner. We will follow this evolution from Steiner to the Neapolitan school (Trudi and Battaglini) and finally to the contribution of Beltrami that closed this journey, at least from a mathematical point of view (scholars of elementary geometry, in fact, will continue to resume the problem from the second half of the 19th to the beginning of the 20th century). We believe that such evolution may indicate the steady development of the mathematical methods from Euclidean metric to projective, and finally, with Beltrami, with the use of quadratic transformations. In this sense, the work of Beltrami appears similar to the recent (after the anticipations of Magnus and Steiner) results of Schiaparelli and Cremona. Moreover, Beltrami's methods are closely related to the study of birational transformations, which in the same period were becoming one of the main topics of algebraic geometry. Finally, our work emphasises the role played by the nine-point conic problem in the studies of young Beltrami who, under Cremona's guidance, was then developing his mathematical skills. To this end, we make considerable use of the unedited correspondence Beltrami – Cremona, preserved in the Istituto Mazziniano, Genoa.
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- 2021
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8. Musical pitch quantization as an eigenvalue problem
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Peter beim Graben, Maria Mannone, Publica, beim Graben P., and Mannone M.
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Circle of fifths ,circle of fifths ,scales ,Cyclic group ,continuum ,cyclic groups ,quantum cognition ,050105 experimental psychology ,060404 music ,Schrödinger equation ,symbols.namesake ,transposition symmetry ,discrete ,0501 psychology and cognitive sciences ,Quantum cognition ,Eigenvalues and eigenvectors ,Mathematics ,Settore ING-INF/05 - Sistemi Di Elaborazione Delle Informazioni ,Settore INF/01 - Informatica ,Quantization (music) ,Applied Mathematics ,05 social sciences ,Mathematical analysis ,06 humanities and the arts ,Settore MAT/04 - Matematiche Complementari ,Settore MAT/02 - Algebra ,Computational Mathematics ,circle of fifths, continuum, cyclic groups, discrete, quantum cognition, scales, transposition symmetry ,Computer Science::Sound ,Modeling and Simulation ,Frequency domain ,symbols ,0604 arts ,Music ,Pitch (Music) - Abstract
How can discrete pitches and chords emerge from the continuum of sound? Using a quantum cognition model of tonal music, we prove that the associated Schrödinger equation in Fourier space is invariant under continuous pitch transpositions. However, this symmetry is broken in the case of transpositions of chords, entailing a discrete cyclic group as transposition symmetry. Our research relates quantum mechanics with music and is consistent with music theory and seminal insights by Hermann von Helmholtz.
- Published
- 2020
9. A tribute to Massimo Lanza de Cristoforis
- Author
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Pier Domenico Lamberti, Matteo Dalla Riva, Paolo Musolino, Sergei Rogosin, Dalla Riva M., Lamberti P.D., Musolino P., and Rogosin S.V.
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A tribute to Lanza de Cristoforis ,Numerical Analysis ,Partial differential equation ,Applied Mathematics ,media_common.quotation_subject ,010102 general mathematics ,Settore MAT/04 - Matematiche Complementari ,01 natural sciences ,Physics::History of Physics ,Pleasure ,010101 applied mathematics ,Algebra ,Computational Mathematics ,H. Begehr ,Settore MAT/05 - Analisi Matematica ,Complex variables ,0101 mathematics ,Analysis ,Mathematics ,media_common - Abstract
It is with great pleasure that we dedicate the special issue Functional Analytic Methods in Partial Differential Equations of Complex Variables and Elliptic Equations to the 60th birthday of Massim...
- Published
- 2020
10. La matematica al servizio della ristorazione
- Author
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Carelli, Veronica
- Subjects
didattica ,matematica ,ristorazione ,competenze ,istituto professionale ,motivazione ,teaching ,mathematics ,restaurant ,skills, professional institute ,motivation ,Settore MAT/04 - Matematiche Complementari - Abstract
Durante i tre anni di dottorato di ricerca in Formazione della persona e mercato del lavoro ho lavorato alla progettazione di un curricolo scolastico per matematica, poi realizzato all'interno dell'indirizzo di Operatore della ristorazione e Servizi di Sala e Bar, nell? IeFP Oliver Twist presso Cometa Formazione a Como. All? interno della collaborazione con la scuola ho rivestito il ruolo di docente di matematica per gli studenti delle classi dalla prima alla quinta. Ho progettato un curricolo di matematica basato sulla metodologia dal fare al sapere, per le classi del triennio, realizzando anche una dispensa per gli studenti. Lo scopo del mio lavoro di ricerca � stato quello di ripensare al curricolo di matematica per stimolare l?interesse e la motivazione degli studenti verso questa disciplina. � risaputo infatti che la maggior parte degli studenti frequentanti gli IeFP non sono interessati alla matematica perch� la percepiscono spesso inutile in relazione alla professione che hanno scelto. Per fare ci�, ho tentato di rivisitare l?attuale curricolo di matematica ripensando alla modalit� di trattazione dei temi proposti e facendo in modo che fosse in stretta sinergia con gli aspetti professionali pi� rilevanti. Al fine di rendere il pi� realistica possibile la progettazione di questo curricolo, senza tralasciare le competenze espresse negli OSA, � stato necessario confrontarmi continuamente con i colleghi docenti professionisti nei settori di sala, bar, cucina e pasticceria. Per agevolare la comprensione della sfera professionale esaminata, quella ristorativa, ho simulato con i colleghi la realizzazione di un evento, generalmente realizzato dagli studenti, cos� da poter cogliere tutti gli aspetti di questa professione che richiedono una competenza matematica e poterla poi trasmettere correttamente e in modo funzionale agli studenti stessi. Oltre alla realizzazione della dispensa studenti e alla rivisitazione del curricolo in matematica, l'attivit� di ricerca si � anche occupata di monitorare e analizzare l'andamento delle valutazioni degli studenti che hanno potuto vivere in prima persona un percorso d'apprendimento cos� costruito. Si � inoltre indagata attraverso un questionario la percezione che hanno avuto gli studenti.
- Published
- 2019
- Full Text
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11. Lost in translation? Reading Newton on inverse-cube trajectories
- Author
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Niccolò Guicciardini
- Subjects
Philosophy of science ,060102 archaeology ,media_common.quotation_subject ,Received view of theories ,Cube (algebra) ,06 humanities and the arts ,Settore MAT/04 - Matematiche Complementari ,Physics::History of Physics ,Magnum opus ,Isaac Newton ,Central force motion ,Annotation ,Theoretical physics ,Mathematics (miscellaneous) ,Corollary ,060105 history of science, technology & medicine ,History and Philosophy of Science ,Reading (process) ,Calculus ,0601 history and archaeology ,History of science ,Mathematics ,media_common - Abstract
This paper examines an annotation in Newton’s hand found by H. W. Turnbull in David Gregory’s papers in the Library of the Royal Society (London). It will be shown that Gregory asked Newton to explain to him how the trajectories of a body accelerated by an inverse-cube force are determined in a corollary in the Principia: an important topic for gravitation theory, since tidal forces are inverse cube. This annotation opens a window on the more hidden mathematical methods which Newton deployed in his magnum opus. The received view according to which the Principia are written in a geometric style with no help from calculus techniques must be revised.
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- 2015
- Full Text
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12. Parametric Natura Morta
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Maria C Mannone and Mannone, Maria
- Subjects
Settore MAT/02 - Algebra ,Settore INF/01 - Informatica ,parametric equations, still life, visual arts, mathematics and the arts ,Calculus ,Settore MAT/04 - Matematiche Complementari ,Parametric equation ,Mathematics - Abstract
Parametric equations can also be used to draw fruits, shells, and a cornucopia of a mathematical still life. Simple mathematics allows the creation of a variety of shapes and visual artworks, and it can also constitute a pedagogical tool for students.
- Published
- 2018
13. Fare matematica con gli EAS
- Author
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Marchisoni, Elisa and Montagnoli, Laura
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didattica ,teaching ,mathematics ,EAS ,Matematica ,primaria ,Settore MAT/04 - MATEMATICHE COMPLEMENTARI - Published
- 2018
14. The effects of the equality parameter on mathematics students’ performance. A comparative analysis of Peer Education interventions in teaching-learning of linear and quadratic functions
- Author
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Spagnuolo, Alessandro
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education ,learning ,mathematics ,peer ,cooperative ,Settore MAT/04 - Matematiche Complementari - Published
- 2017
15. Editing Newton in Geneva and Rome: The Annotated Edition of thePrincipiaby Calandrini, Le Seur and Jacquier
- Author
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Niccolò Guicciardini
- Subjects
Publishing ,Newtonianism ,Geneva ,Minim ,Philosophy ,Rome ,Context (language use) ,Settore MAT/04 - Matematiche Complementari ,History, 18th Century ,History, 17th Century ,England ,History and Philosophy of Science ,Law ,Composition (language) ,Mathematics ,Switzerland ,Classics - Abstract
This contribution examines the circumstances of composition of the annotated edition of Newton's Principia that was printed in Geneva in 1739-1742, which ran to several editions and was still in print in Britain in the mid-nineteenth century. This edition was the work of the Genevan Professor of Mathematics, Jean Louis Calandrini, and of two Minim friars based in Rome, Thomas Le Seur and François Jacquier. The study of the context in which this edition was conceived sheds light on the early reception of Newtonianism in Geneva and Rome. By taking into consideration the careers of Calandrini, Le Seur and Jacquier, as authors, lecturers and leading characters of Genevan and Roman cultural life, I will show that their involvement in the enterprise of annotating Newton's Principia answered specific needs of Genevan and Roman culture. The publication and reception of the Genevan annotated edition has also a broader European dimension. Both Calandrini and Jacquier were in touch with the French république des lettres, most notably with Clairaut and Du Châtelet, and with the Bernoulli family in Basel. Therefore, this study is also relevant for the understanding of the dissemination of Newton's ideas in Europe.
- Published
- 2014
- Full Text
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16. From the theory of 'congeneric surd equations' to 'Segre's bicomplex numbers'
- Author
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Cinzia Cerroni and Cerroni, C.
- Subjects
History ,Pure mathematics ,General Mathematics ,History and Overview (math.HO) ,Context (language use) ,01 natural sciences ,Corrado Segre ,Biquaternion ,James Cockle ,Storia dell'Algebra, Bicomplessi ,FOS: Mathematics ,0601 history and archaeology ,0101 mathematics ,01A55, 08-03, 51-03 ,The Imaginary ,Mathematics ,Hypercomplex number ,Tessarine ,Mathematics::Complex Variables ,Mathematics - History and Overview ,010102 general mathematics ,06 humanities and the arts ,Settore MAT/04 - Matematiche Complementari ,060105 history of science, technology & medicine ,Irrational number ,Bicomplex number ,Mathematics::Differential Geometry ,William Rowan Hamilton - Abstract
We will study the historical pathway of the emergence of Tessarines or Bicomplex numbers, from their origin as "imaginary" solutions of irrational equations, to their insertion in the context of study of the algebras of hypercomplex numbers., Comment: 27 pages
- Published
- 2017
17. Ivor Grattan-Guinness (June 23, 1941-December 12, 2014)
- Author
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Joseph W. Dauben, Karen Hunger Parshall, Adrian Rice, Niccolò Guicciardini, and Albert C. Lewis
- Subjects
Settore M-STO/05 - Storia della Scienza e delle Tecniche ,History ,Mathematics ,Historiography ,General Mathematics ,Settore MAT/04 - Matematiche Complementari - Published
- 2016
18. MaT²SMC: materials for teaching together: science andmMathematics teachers collaborating for better results
- Author
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BATTAGLIA, Onofrio Rosario, Maria Lo Cicero, Daniel Antony De Silva, DI PAOLA, Benedetto, FAZIO, Claudio, Renata Holubová, Rob Hughes, Imrich Jakab, Vincentas Lamanauskas, Janka Medová, MILICI, Pietro, Josef Molnár, Daune Nezvalová, Loretta Ragulienė, Violeta Šlekienė, Martin Štubňa, Andreas Ulovec, Ľubomíra Valovičová, Vladimír Vaněk, Onofrio Rosario Battaglia, Maria Lo Cicero, Daniel Antony De Silva, Benedetto Di Paola, Μαρία Ευαγόρου, Claudio Fazio, Renata Holubová, Rob Hughe, Imrich Jakab, Vincentas Lamanauska, Janka Medová, Pietro Milici, Josef Molnár, Νικόλας Μουσουλίδης, Daune Nezvalová, Loretta Ragulienė, Violeta Šlekienė, Martin Štubňa, Andreas Ulovec, Ľubomíra Valovičová, and Vladimír Vaněk
- Subjects
Science ,Teaching ,Mathematics ,Settore MAT/04 - Matematiche Complementari ,Mathematics, Science, Teaching - Abstract
Let us start with an important statement: Mathematics and Science teachers do a good, and often an outstanding, job in teaching young people the basic knowledge of their respective fields! It is not the intent of this book to criticize what they do or how they do it. Keeping that in mind, and noting the fact that the teaching content of these fields intersects and overlaps, we observed – and this took us by surprise – that there is hardly any collaboration or consultancy between mathematics and science teachers (or textbook authors). Mathematics teachers often use science contexts in tasks, and science teachers often use mathematics, however they are usually working independently. Science context is often arbitrarily chosen, mathematics used with little regard towards learning. Looking through existing teaching and learning materials, we quickly discovered that these materials, too, were mostly designed by either science, or mathematics educators, and that they do not offer active support or lots of opportunities for collaboration. Being an international team of mathematics and science teacher educators, we set out to improve the situation. We developed materials that are useful for both mathematics and science teachers, materials that are designed to increase the competences in both subjects at the same time, allowing for interdisciplinary learning and for collaboration between science and mathematics teachers, ranging from common lesson planning to team teaching. These materials have been piloted and tested by students, teachers and teacher educators in several countries, as well as reviewed by two education specialists. Based on this feedback, the materials were then revised and brought into their final form. The materials in this book, containing lesson descriptions, work sheets etc., can be used as they are by mathematics and science teachers. They however also can be taken apart and set together in a new and different way, or bits and pieces of them can be used in teaching, as the teachers see fit. They also can be used in teacher training, making science and mathematics teacher trainees aware that working together – now and in their later careers – can improve their experience and the learning of their future students. We hope that with this book we encourage teachers to actively seek collaboration, so regardless whether you are a science or a mathematics teacher, go ahead and join forces with a colleague from the other field!
- Published
- 2016
19. Accogliere con la matematica è possibile? Un'esperienza
- Author
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Baresi, Francesca
- Subjects
mathematics ,didattica ,didactis ,matematica ,Settore MAT/04 - MATEMATICHE COMPLEMENTARI - Published
- 2015
20. Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion
- Author
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Niccolò Guicciardini
- Subjects
Mathematical problem ,Isaac Newton ,Johann Bernoulli ,central force motion ,Work (physics) ,Settore MAT/04 - Matematiche Complementari ,Inverse problem ,Mathematical proof ,Classical central-force problem ,Bernoulli's principle ,Central force ,Calculus ,Mathematics - Abstract
In this essay I analyze the solutions given by Isaac Newton and Johann Bernoulli to a well-posed mathematical problem known in the eighteenth century as the ‘inverse problem of central forces’. This work prompted polemical exchanges between two rival groups: the first, whose leader was Newton, was based in Oxford, Cambridge, and London; the second, whose leading representatives were Leibniz and Bernoulli, was scattered througout Europe, though centered in Basel and Paris.
- Published
- 2015
- Full Text
- View/download PDF
21. Matematica e rilevazioni internazionali. Quadri di riferimento e quesiti proposti
- Author
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Montagnoli, Laura
- Subjects
assessment ,PISA ,Matematica, rilevazioni internazionali, PISA, TIMSS ,Mathematics ,Mathematics, assessment, PISA, TIMSS ,TIMSS ,Settore MAT/04 - MATEMATICHE COMPLEMENTARI - Published
- 2015
22. Math for freedom. An original proof of the fundamental theorem of algebra within the ambit of real numbers
- Author
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Cuneo, Alejandro Javier
- Subjects
Freedom ,Complex Numbers ,Real Numbers ,Didactics ,Mathematics ,Fundaments ,Profundity ,Fundamental Theorem of Algebra ,Settore MAT/01 - Logica Matematica ,Settore MAT/04 - Matematiche Complementari - Abstract
At the beginning of my work there?s a description of a particular philosophy of mathematics, the mathematics for freedom, which is used to ultimately justify thoughts and positions about the didactics of mathematics. The main remark is that didactics of mathematics won?t be incisive by remaining on general considerations and thus avoiding the specific features of each topic to be learned. The origin of the didactic hints relative to specific topics can only derive from a profound mathematical study of these topics. The last observation is naturally followed by an explanation and a classification of what a profound mathematical study of a topic is. For many elementary topics in mathematics there is not enough mathematical research already performed at high levels of profundity, and this causes a serious didactic difficulty. For this reason, didactical concerns can motivate mathematical research. This is the case of the fundamental theorem of algebra in the ambit of real numbers. The existing proofs of this result make use of the complex numbers. The use of complex numbers causes that the fundamental ideas on which the proofs rely become very difficult to be identified. This motivates the development of an original proof of this result that avoids the use of complex numbers. As expected the proof I developed enlightens on the fundamental ideas on which the result rests. The zero-level curves that correspond to the remainder of the division between a generic even-degree polynomial and a quadratic polynomial present an interweaved pattern in a region far away enough from the origin, and this implies the existence of an intersection of these zero-level curves and therefore also the existence of a quadratic polynomial dividing the given even-degree polynomial. The proof makes extensive use of the recursive properties of the algebraic expression of the remainder and of continuity.
- Published
- 2013
- Full Text
- View/download PDF
23. The Equiangular Compass
- Author
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Pietro Milici, Robert J. MacG. Dawson, Milici, P, and Dawson, R
- Subjects
transcendental curves ,History and Philosophy of Science ,logarithmic spirals ,General Mathematics ,Computer graphics (images) ,Compass ,geometrical tools, classical geometry problems, transcendental curves, logarithmic spirals ,geometrical tools ,classical geometry problems ,Equiangular polygon ,Settore MAT/04 - Matematiche Complementari ,Mathematics - Published
- 2012
24. Women’s Contributions to the Progress of Mathematics: Lights and Shadows
- Author
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Elisabetta Strickland
- Subjects
Psychoanalysis ,Aesthetics ,Field (Bourdieu) ,Settore MAT/04 - Matematiche Complementari ,Psychology ,Personality psychology ,Mathematics - Abstract
It’s undoubtedly worthwhile to analyse the role played by women in mathematics. Men have obtained many recognitions in this field, but the same cannot be said about women. Indeed, how many people are aware of the contributions of Hypatia, Emilie du Chatelet, Maria Gaetana Agnesi, Sophie Germaine, Mary Fairfax Somerville, Sonya Kovalevsky and Emmy Noether? Nevertheless, today we can confirm that these women made substantial contributions to the progress of mathematics. For this reason they deserve our attention, but also because they had extraordinary lives and peculiar personalities which are interesting to observe closely.
- Published
- 2012
25. Unitary Groups Acting on Grassmannians Associated with a Quadratic Extension of Fields
- Author
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Vaccaro M A, Claudio Bartolone, Bartolone C, Maria Alessandra Vaccaro, BARTOLONE C, and VACCARO M A
- Subjects
Discrete mathematics ,Classical group ,Pure mathematics ,Double coset ,Projective unitary group ,General Mathematics ,15A21 ,Unitary matrix ,Settore MAT/04 - Matematiche Complementari ,Algebraic closure ,11E39 ,Unitary group ,51N30 ,Quadratic field ,Geometry of classical groups, Canonical forms, reductions, classification ,Special unitary group ,Mathematics - Abstract
Let (V, H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V, H) in the set of K-subspaces of V . Throughout the paper K denotes a real closed field and K its algebraic closure. Then it is well known (see, for example, [4, Chapter 2], [23]; see also [8]) that K = K(i) with i = √−1. Also we let (V,H) be an anisotropic Hermitian space (with respect to the involution underlying the quadratic field extension K/K) of finite dimension n over K. In this context we consider the natural action of the unitary group U = U(V,H) of isometries of (V,H) on the set Xd of all ddimensional K-subspaces of V . The analogous problem where (V,H) is a symplectic space was treated in [1] (for arbitrary quadratic field extensions). It turns out that, in contrast with the symplectic case, there are infinitely many orbits for the action of the unitary group U on Xd. In group theoretic language the stated problem turns into the determination of the double coset spaces of the form (1) GW \G/U, where G = GL (VK) and GW denotes the parabolic subgroup of G stabilizing a member W ∈ Xd (we write VK to indicate that we are regarding V as a vector space over K). The precise structure of double coset spaces involving classical groups is of great interest in applying the classical Rankin-Selberg method for explicit construction of automorphic L-functions, as Garrett [2] and Piatetski-Shapiro and Rallis [6] worked out. 2000 AMS Mathematics Subject Classification. Primary 51N30, 15A21, Secondary 11E39. Received by the editors on October 13, 2003. Copyright c ©2006 Rocky Mountain Mathematics Consortium
- Published
- 2006
- Full Text
- View/download PDF
26. Guido Castelnuovo : documents for a biography
- Author
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Paola Gario
- Subjects
History ,Mathematics(all) ,Guido Castelnuovo ,School of algebraic geometry ,University of Rome ,General Mathematics ,Italian school of algebraic geometry ,Biography ,Subject (documents) ,Tutti ,Settore MAT/04 - Matematiche Complementari ,Humanities ,Studio ,Mathematics - Abstract
In recent years it has been possible to begin the study of the archive of Guido Castelnuovo, one of the most important mathematicians of the Italian school of algebraic geometry. The archive contains a large scientific correspondence, only partially examined, and all the notebooks of lectures given by Castelnuovo in the courses of the last two years of the Italian degree (Laurea) in mathematics. In this paper we discuss the notebooks of the lectures. The history of the Italian school of algebraic geometry is greatly illuminated by this recent discovery. Copyright 2001 Academic Press. Da alcuni anni e in corso lo studio dell'archivio di Guido Castelnuovo, uno degli esponenti piu importanti della scuola italiana di geometria algebrica. Oltre ad una ricca corrispondenza scientifica, solo in parte esaminata, sono stati ritrovati recentemente tutti i quaderni delle lezioni dei corsi che Castelnuovo tenne per il secondo biennio della Laurea in matematica. In questo articolo diamo una prima descrizione di questi quaderni. Importanti aspetti della storia della scuola italiana di geometria algebrica possono essere chiariti alla luce di questi nuovi documenti. Copyright 2001 Academic Press. MSC 1991 Subject Classifications: 01A55, 01A60, 01A72, 01A73.
- Published
- 2001
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